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Finding the Fourth Proportional to 5,420.40, 8,131.15 and 1,471.72

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Solution

The fourth proportional to 5,420.40, 8,131.15 and 1,471.72 is: 2,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.40 : 8,131.15 = 1,471.72 : x
  2. Step 2: Convert to fraction form
    5,420.40/8,131.15 = 1,471.72/x
  3. Step 3: Cross multiply
    5,420.40x = 8,131.15 × 1,471.72
  4. Step 4: Simplify right side
    5,420.40x = 11,966,768.72
  5. Step 5: Solve for x
    x = 11,966,768.72/5,420.40
  6. Step 6: Final answer
    x = 2,207.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.